I agree with @blisshifi , listen if you can to a few speakers. Based on what you listen too, Totems, KEF's (pricey compared to what?), B&W's and Harbeth, you can check out the new KLH's. I have a small room, so having the port in the back of the speaker was not a good match, so I went with Harbeth. I myself have a huge Dead collection (if it's not obvious). The Harbeth are very accurate, but a bit laid back however compared to the other ones mentioned. So you may or may not like Harbeth's. I think they make Jerry and Bob sound great. If you listen to more acoustic/vocals/'mellower' rock then you will like them. Death metal not so much.
Your NAD was a Class D, I had NAD a long time ago, very good sounding. I changed over to Class A, and although some newer Class D sounds amazing, such as the new Technics integrated (NAD has some really nice stuff too), I went with Luxman class A/B (you can get a used one for about $5K) they have great headphone amps and turntable preamps built into them (keep an eye out, some integrated amps do not have phono inputs), plus tone controls, great for late night listening. Primaluna only if you want to deal with tubes, but a very good sounding choice. Rotel has some very nice stuff, I loved the CD player I had, but I do not have experience with their other electronics.
You have lots to choose from, but choose the speakers first, they are more critical, especially in a room your size (Mine is 10x16 so barely larger then yours). Good luck.